关于广泛退化椭圆型系统的二阶正则性
On the second-order regularity of widely degenerate elliptic systems
AI总结:
研究广泛退化椭圆型系统二阶正则性,通过证明临界集附近正则性及退化区域测度性质得出相关结论。
AI中文摘要:
我们证明了广泛退化椭圆型系统在临界集附近的局部二阶正则性,并表明若源项非零,退化区域的勒贝格测度为零。
英文摘要:
We prove local second-order regularity near the critical set for widely degenerate elliptic systems, and show that this degenerate region has zero Lebesgue measure provided the source term is non-vanishing.